On the main floor of the Kodak Hall at the Eastman Theater, the number of seats per row increases at a constant rate. Lucas counts 31 seats in row 3 and 37 seats in row 6. How many seats are there in row 20?


67


61


63



65

Answers

Answer 1

Answer:

67

Step-by-step explanation:

Answer 2

There are 65 seats in row 20, option D is correct.

Given that number of seats in row 3 are 31.

Number of seats in row 6 are 37

We need to find the rate of increase, we can calculate the difference in the number of seats between row 6 and row 3 and divide it by the number of rows in between:

Rate of increase = (Number of seats in row 6 - Number of seats in row 3) / (6 - 3)

Rate of increase = (37 - 31) / (6 - 3)

Rate of increase = 2

So, the number of seats increases by 2 seats per row.

To find the number of seats in row 20, we can use the rate of increase:

Number of seats in row 20 = Number of seats in row 3 + (Rate of increase × (20 - 3))

Number of seats in row 20 = 31 + (2× (20 - 3))

= 31 + (2 × 17)

= 31 + 34

= 65

Therefore, there are 65 seats in row 20.

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Technology required. ABCD is a rectangle. Find the length of AC and the measures of a
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Answers

Answer:

AC = 12.4

Theta = 75.96 degrees

Alpha = 14.04 degrees

Step-by-step explanation:

Mathematically, the angle at each edge of the rectangle is 90 degrees

So, we can see a right triangle ABC

Where AC is its hypotenuse

Mathematically, the square of the hypotenuse equals the sum of the squares of the two other sides

That will be;

3^2 + 12^2 = 9 + 144 = 153

AC = √153

AC = 12.4

We need to use the appropriate trigonometric ratio to get the value of alpha and theta

For theta;

Its opposite side is 3 while its adjacent is 12

The trigonometric ratio to use is the tan

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tan theta= 3/12

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SOH CAH TOA identity

From the given figure, we have the following parameters

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Hence the measure of AC to the nearest hundredth is 12.37

Learn more on SOH CAH TOA here: https://brainly.com/question/20734777

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Answer:

17.5

Step-by-step explanation:

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Answers

Answer:

C = 5.

Step-by-step explanation:

First, you need to remember that:

For the function:

h(x) = Sinh(k*x)

We have:

h'(x) = k*Cosh(k*x)

and for the Cosh function:

g(x) = Cosh(k*x)

g'(x) = k*Cosh(k*x).

Now let's go to our problem:

We have f(x) = A*cosh(C*x) + B*Sinh(C*x)

We want to find the value of C such that:

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So let's derive f(x):

f'(x) = A*C*Sinh(C*x) + B*C*Cosh(C*x)

and again:

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Answers

Answer:

A

Step-by-step explanation:

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